Question

The weight of bucket is 19kg when it's with water up to 5/7 of its capacity and the weight of 22 kg if its filled with water upto 6/7 of its capacity find the weight of bucket is completely filled with water

Answer 1

Hence, 25Kg is the final answer..

Answer 2

Dear Student,

● Answer -

25 kg

◆ Explanation -

Let x be weight of the bucket and y be weight of total water.

Weight of 5/7th filled bucket is 19 kg,

x + 5y/7 = 19

7x + 5y = 133 ...(1)

Weight of 6/7th filled bucket is 22 kg,

x + 6y/7 = 22

7x + 6y = 154 ...(2)

Substracting (1) from (2),

(7x + 6y) - (7x + 5y) = 154 - 133

y = 21 kg

Substitute this in (1),

7x + 5×21 = 133

7x + 105 = 133

7x = 133 - 105

7x = 28

x = 28/7

x = 4 kg

Weight of completely filled water is -

x + y = 21 + 4

x + y = 25 kg

Hence, the weight of bucket completely filled with water is 25 kg.

Thanks dear. Hope this helps you...